Which of the following statements have the same result? Explain each step in solving each one.

Mathematics

1 answer:

Tatiana [17]2 years ago

3 0

Answer:

I don't think that there is two same results. sorry I couldn't help

Step-by-step explanation:

for I the answer should be 10 if you replaced each x by 2. f(2) = 3(2) + 4

and for II it will be f-1(4) = 3-1(4) - 4 /5 the answer will be -1.

for III it should be y = 8 or 4

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Encontrar la Esperanza Matemática y Desviación Estándar del número de imperfecciones (y) en pizarra acrílica. (2 puntos) y 0 1 2

fredd [130]

Responder:

1,625; 0.8569

Explicación paso a paso:

y ___0 ____ 1 ____ 2 ____3

P (y) _1 / 8 ___ ¼ ___ ½ ____ 1/8

Valor esperado (E (x)): Σx * p (x)

= (0 * (1/8)) + (1 * (1/4)) + (2 * (1/2)) + (3 * (1/8)) = 1,625

La desviación estándar = sqrt (Var (x))

Var (X) = Σx²p (x) * E (x) ²

Var (X) = [(0 ^ 2 * (1/8)) + (1 ^ 2 * (1/4)) + (2 ^ 2 * (1/2)) + (3 ^ 2 * (1 / 8))] - 1.625²

Var (X) = (0 * (1/8)) + (1 * (1/4)) + (4 * (1/2)) + (9 * (1/8)) - 1.625 ^ 2

= 3.375 - 2.640625

= 0,734375

Desviación estándar = Sqrt (0,734375) = 0,8569

7 0

2 years ago

A gardener has 640 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe

kari74 [83]

9514 1404 393

Answer:

160 ft (out from the river)
320 ft (parallel to the river)

Step-by-step explanation:

Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...

A = x(640-x)/2

This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.

The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.